Square-well model for superconducting pair-potential
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910655291850752 |
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| author | Thuneberg, Erkki |
| author_facet | Thuneberg, Erkki |
| contents | We study Andreev reflection in a one-dimensional square-well pair-potential. We discuss the history of the model. The current-phase relation is presented as a sum over Matsubara frequencies. How the current arises from bound and continuum levels is found by analytic continuation. We discuss two limiting cases of the square-well potential, the zero-length well and the infinite well. The model is quantitatively valid in some cases but forms the basis for understanding a wide range of problems in inhomogeneous superconductivity and superfluidity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07659 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Square-well model for superconducting pair-potential Thuneberg, Erkki Superconductivity We study Andreev reflection in a one-dimensional square-well pair-potential. We discuss the history of the model. The current-phase relation is presented as a sum over Matsubara frequencies. How the current arises from bound and continuum levels is found by analytic continuation. We discuss two limiting cases of the square-well potential, the zero-length well and the infinite well. The model is quantitatively valid in some cases but forms the basis for understanding a wide range of problems in inhomogeneous superconductivity and superfluidity. |
| title | Square-well model for superconducting pair-potential |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2405.07659 |